Atkin-Lehner |
3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122247g |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1049495393315043 = 39 · 176 · 472 |
Discriminant |
Eigenvalues |
1 3- 0 -4 0 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-371997,87407910] |
[a1,a2,a3,a4,a6] |
j |
323535264625/59643 |
j-invariant |
L |
1.908349918437 |
L(r)(E,1)/r! |
Ω |
0.47708733805367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40749m2 423b2 |
Quadratic twists by: -3 17 |